Construct a 95% confidence interval to estimate the population proportion of second born babies who were assigned male at birth given that their first born sibling was assigned the gender female at birth. (Enter your answer using interval notation. Round your numerical values to four decimal places.)
Construct a 95% confidence interval to estimate the population proportion of second born babies who were assigned male at birth given that their first born sibling was assigned the gender female at birth. (Enter your answer using interval notation. Round your numerical values to four decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Please answer the question that reads: Construct a 95% confidence interval to estimate the population proportion of second born babies who were assigned male at birth given that their first born sibling was assigned the gender female at birth. (Enter your answer using interval notation. Round your numerical values to four decimal places.)
| nm_child | sx_1 | sx_2 | sx_3 | sx_4 | sx_5 | sexchldn | num_fam |
| 2 | M | M | MM | 4800 | |||
| 2 | M | F | MF | 4270 | |||
| 2 | F | M | FM | 4433 | |||
| 2 | F | F | FF | 4218 | |||
| 3 | M | M | M | MMM | 1661 | ||
| 3 | M | M | F | MMF | 1618 | ||
| 3 | M | F | M | MFM | 1507 | ||
| 3 | M | F | F | MFF | 1403 | ||
| 3 | F | M | M | FMM | 1521 | ||
| 3 | F | M | F | FMF | 1421 | ||
| 3 | F | F | M | FFM | 1610 | ||
| 3 | F | F | F | FFF | 1498 | ||
| 4 | M | M | M | M | MMMM | 469 | |
| 4 | M | M | M | F | MMMF | 484 | |
| 4 | M | M | F | M | MMFM | 466 | |
| 4 | M | M | F | F | MMFF | 448 | |
| 4 | M | F | M | M | MFMM | 398 | |
| 4 | M | F | M | F | MFMF | 448 | |
| 4 | M | F | F | M | MFFM | 420 | |
| 4 | M | F | F | F | MFFF | 425 | |
| 4 | F | M | M | M | FMMM | 419 | |
| 4 | F | M | M | F | FMMF | 406 | |
| 4 | F | M | F | M | FMFM | 406 | |
| 4 | F | M | F | F | FMFF | 342 | |
| 4 | F | F | M | M | FFMM | 424 | |
| 4 | F | F | M | F | FFMF | 428 | |
| 4 | F | F | F | M | FFFM | 442 | |
| 4 | F | F | F | F | FFFF | 481 | |
| 5 | M | M | M | M | M | MMMMM | 549 |
| 5 | M | M | M | M | F | MMMMF | 516 |
| 5 | M | M | M | F | M | MMMFM | 478 |
| 5 | M | M | M | F | F | MMMFF | 495 |
| 5 | M | M | F | M | M | MMFMM | 524 |
| 5 | M | M | F | M | F | MMFMF | 469 |
| 5 | M | M | F | F | M | MMFFM | 476 |
| 5 | M | M | F | F | F | MMFFF | 509 |
| 5 | M | F | M | M | M | MFMMM | 472 |
| 5 | M | F | M | M | F | MFMMF | 441 |
| 5 | M | F | M | F | M | MFMFM | 456 |
| 5 | M | F | M | F | F | MFMFF | 453 |
| 5 | M | F | F | M | M | MFFMM | 496 |
| 5 | M | F | F | M | F | MFFMF | 473 |
| 5 | M | F | F | F | M | MFFFM | 495 |
| 5 | M | F | F | F | F | MFFFF | 440 |
| 5 | F | M | M | M | M | FMMMM | 486 |
| 5 | F | M | M | M | F | FMMMF | 447 |
| 5 | F | M | M | F | M | FMMFM | 479 |
| 5 | F | M | M | F | F | FMMFF | 452 |
| 5 | F | M | F | M | M | FMFMM | 492 |
| 5 | F | M | F | M | F | FMFMF | 430 |
| 5 | F | M | F | F | M | FMFFM | 469 |
| 5 | F | M | F | F | F | FMFFF | 429 |
| 5 | F | F | M | M | M | FFMMM | 502 |
| 5 | F | F | M | M | F | FFMMF | 440 |
| 5 | F | F | M | F | M | FFMFM | 445 |
| 5 | F | F | M | F | F | FFMFF | 427 |
| 5 | F | F | F | M | M | FFFMM | 455 |
| 5 | F | F | F | M | F | FFFMF | 461 |
| 5 | F | F | F | F | M | FFFFM | 488 |
| 5 | F | F | F | F | F | FFFFF | 518 |
Transcribed Image Text:Construct a 95% confidence interval to estimate the population proportion of second born babies who were assigned male
at birth given that their first born sibling was assigned the gender female at birth. (Enter your answer using interval
notation. Round your numerical values to four decimal places.)
(0.112, 0.138)
Expert Solution
Step 1
From the given data, out of total of n=60 observations, 15 are second born male babies given that their first born sibling is female.
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Follow-up Question
It is not taking (0.1404, 0.3596) as the confidence interval
Solution
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